In the 30-60-90 triangle below, side s has a length of and side q has a length of

In a 30-60-90 triangle:
the side opposite of the 30 degree angle has a length of "b"
the side opposite of the 60 degree angle has a length of "b√3"
the side opposite of the 90 degree angle has a length of "2b"

The given value of 8 is opposite of the 90 degree angle, so 8 = 2b → 4 = b
Now, plug in 4 for b to determine the lengths of the other sides.

s is the side opposite of the 30 degree angle which has a length of "b"
so, s is 4

q is the side opposite of the 60 degree angle which has a length of "b√3"
so, q is 4√3

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